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Finding the Fourth Proportional to 171,204, 256,922.64 and 60,396

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Solution

The fourth proportional to 171,204, 256,922.64 and 60,396 is: 90,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,204 : 256,922.64 = 60,396 : x
  2. Step 2: Convert to fraction form
    171,204/256,922.64 = 60,396/x
  3. Step 3: Cross multiply
    171,204x = 256,922.64 × 60,396
  4. Step 4: Simplify right side
    171,204x = 15,517,099,765.44
  5. Step 5: Solve for x
    x = 15,517,099,765.44/171,204
  6. Step 6: Final answer
    x = 90,635.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.